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Finding the Fourth Proportional to 1,097.45, 1,646.30 and 367.10

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Solution

The fourth proportional to 1,097.45, 1,646.30 and 367.10 is: 550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.45 : 1,646.30 = 367.10 : x
  2. Step 2: Convert to fraction form
    1,097.45/1,646.30 = 367.10/x
  3. Step 3: Cross multiply
    1,097.45x = 1,646.30 × 367.10
  4. Step 4: Simplify right side
    1,097.45x = 604,356.73
  5. Step 5: Solve for x
    x = 604,356.73/1,097.45
  6. Step 6: Final answer
    x = 550.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.